BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.3, Problem 119E
To determine

To calculate: The factor of the expression 2x3+4x2+x+2 .

Expert Solution

Answer to Problem 119E

The factor of the expression 2x3+4x2+x+2 is (2x2+1)(x+2) .

Explanation of Solution

Given information:

The expression 2x3+4x2+x+2 .

Formula used:

To factor out the common factor from a polynomial, find out the greatest common factor and express the polynomial as a product of the simpler ones.

Calculation:

Consider the given expression 2x3+4x2+x+2 .

Recall that to factor out the common factor from a polynomial, find out the greatest common factor and express the polynomial as a product of the simpler ones.

The common factor of 2x3 and 4x2 terms is 2x2 , so, rewrite it as,

  2x3+4x2+x+2=2x2(x+2)+1(x+2)=(2x2+1)(x+2)

Thus, the factor of expression 2x3+4x2+x+2 is (2x2+1)(x+2) .

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